On a Rational Plane Quintic Curve with Four Real Cusps

1924 ◽  
Vol 46 (4) ◽  
pp. 235
Author(s):  
Peter Field
Keyword(s):  
Rational Plane ◽  
Plane Quintic

Minimal Generators of the Defining Ideal of the Rees Algebra Associated with a Rational Plane Parametrization with μ = 2

2014 ◽  
Vol 66 (6) ◽  
pp. 1225-1249 ◽  
Author(s):  
Teresa Cortadellas Benítez ◽  
Carlos D'Andrea
Keyword(s):  
Projective Plane ◽  
Rational Curve ◽  
Rees Algebra ◽  
Homogeneous Polynomials ◽  
Rational Plane ◽  
Minimal Generators ◽  
The Ideal

AbstractWe exhibit a set of minimal generators of the defining ideal of the Rees Algebra associated with the ideal of three bivariate homogeneous polynomials parametrizing a proper rational curve in projective plane, having a minimal syzygy of degree 2.

The 5-Tangent Conics of the Plane Quintic Curve

1927 ◽  
Vol s1-2 (2) ◽  
pp. 79-84 ◽  
Author(s):  
William P. Milne
Keyword(s):  
Plane Quintic
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